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koban [17]
3 years ago
6

If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30

Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

4,500

Step-by-step explanation:

150 x 30

15 x 3 = 45, add 2 0's at end, 4,500

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consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations
emmasim [6.3K]

Answer:

x=1 and x=4

Step-by-step explanation:

We have the following system of equations:

y=\sqrt{x} and y=x-2

To solve the problem, we need to equal the two equations:

x-2=\sqrt{x} ⇒ (x-2)^{2} =x ⇒ x^{2} -4x + 4 = x  

⇒ x^{2} -5x + 4 = 0  

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are x=-1 and x=-4.

Then, the factorized form of the polynomial is: (x-1)(x-4).

The, the solution to the system of equations is: x=1 and x=4.

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If m and n are the zeroes of the polynomial 6y 2 -7y – 2, find a polynomial whose zeroes are 1/m and 1/n
denis-greek [22]

Answer:

y^2-\frac{7}{2}y+3

Step-by-step explanation:

Given polynomial is,

6y² - 7y - 2

Fro the zeros of the given polynomial,

6y² - 7y - 2 = 0

6y² - 4y - 3y - 2 = 0

2y(3y - 2) - 1(3y - 2) = 0

(2y - 1)(3y - 2) = 0

(2y - 1) = 0

y = \frac{1}{2}

(3y - 2) = 0

y = \frac{2}{3}

Therefore, zeros of this polynomial are m = \frac{1}{2} and n = \frac{2}{3}

If a polynomial has zeros as \frac{1}{m} and \frac{1}{n} then the zeros will be \frac{3}{2} and 2.

Polynomial will be,

(y-\frac{3}{2})(y-2)

= y(y-2)-\frac{3}{2}(y-2)

= y^2-2y-\frac{3}{2}y+3

= y^2-\frac{7}{2}y+3

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